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Finding the Third Proportional to 467,900 and 698,732

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Solution

The third proportional to 467,900 and 698,732 is: 1,043,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,900 : 698,732 = 698,732 : x
  2. Step 2: Convert to fraction form
    467,900/698,732 = 698,732/x
  3. Step 3: Cross multiply
    467,900x = 698,732 × 698,732
  4. Step 4: Simplify right side
    467,900x = 488,226,407,824
  5. Step 5: Solve for x
    x = 488,226,407,824/467,900
  6. Step 6: Final answer
    x = 1,043,441.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.